Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index

DOI10.1016/J.AML.2021.107888zbMath1490.35425OpenAlexW4205280636MaRDI QIDQ2077087

Nikolay A. Kudryashov

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107888

zbMATH Keywords

analytical solutionimplicit functionnonlinear differential equationstationary optical soliton

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber ⋮ Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity ⋮ Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple power-law of refractive index in optical fibers

Cites Work

• One method for finding exact solutions of nonlinear differential equations
• Stationary optical solitons with Kudryashov's laws of refractive index
• Solitary wave solutions of hierarchy with non-local nonlinearity
• The generalized Duffing oscillator

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